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Finding the Fourth Proportional to 1,412,541.42, 1,949,297.48 and 767,961.60

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Solution

The fourth proportional to 1,412,541.42, 1,949,297.48 and 767,961.60 is: 1,059,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,541.42 : 1,949,297.48 = 767,961.60 : x
  2. Step 2: Convert to fraction form
    1,412,541.42/1,949,297.48 = 767,961.60/x
  3. Step 3: Cross multiply
    1,412,541.42x = 1,949,297.48 × 767,961.60
  4. Step 4: Simplify right side
    1,412,541.42x = 1,496,985,611,616.77
  5. Step 5: Solve for x
    x = 1,496,985,611,616.77/1,412,541.42
  6. Step 6: Final answer
    x = 1,059,781.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.